Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bo |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.8857881725974E+19 |
Discriminant |
Eigenvalues |
2- 3 2 7- -2 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63259,258530762] |
[a1,a2,a3,a4,a6] |
Generators |
[214691517201:-9803592967238:104487111] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
11.844711303069 |
L(r)(E,1)/r! |
Ω |
0.1693336000994 |
Real period |
R |
17.487243075379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194q1 5936q1 |
Quadratic twists by: -4 -7 |